4 problems

Let ${\mathbb F}={\mathbb R}$, let $A\in{\mathbb F}^{n\times n}$ be Lyapunov regular, and define … where $\mathcal{C}(A)$ is the matrix convex invertible cone generated by $A$,…

Let $K$ be a compact space and let $A$ be a closed subalgebra of $C(K)$, with the Nevanlinna–Pick property represented by $A\in NP_{\infty}$. Nevanlinna–Pick norm conjecture for un…

Let $A$ be a commutative Banach algebra with the Nevanlinna–Pick property represented by $A\in NP_{\infty}$. Nevanlinna–Pick norm conjecture. If $A\in NP_{\infty}$, then $A$ is a…

Let the Pick matrix be denoted by $\Pi$, and let $\mathcal{GP}_g$ be the set of scalar rational generalized positive functions associated with a rational function $g$. Let…